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I'm guessing CYOA doesn't want to dump a tonne of type 1 on his deck...
How long does it need to last? If gaps between decking are big enough to loose toys, the grass might also sag in stripes, so you might want to put something like marine ply on top first. I think the ply and decking beneath are prone to rotting if they stay damp though.
You can get underlays a bit like for carpet, that make it more padded for little ones to play on. That all sounds like a bit of a trip hazard on your deck though... I guess you could make a little upstand to contain the toys and avoid stubbing your toes all the time (but still might cause trip ups).
I'm about to do this on a 4mx4m area
Seems it's all in the prep. Recommendation is a couple of inches of MOT type 1 which will be about 1.5 tonnes of the stuff. Weedproof membrane on top of that and then the grass which conveniently comes in 4m width so you shouldn't need to join it.
At that size I'd look at the websites that do offcuts, you can get it from them considerably cheaper (although hefty delivery charges).
EDIT: Just noticed you said decking. In that case the artificial grass suppliers all seem to provide foam pads to go under the grass.